Finding the Third Proportional to 327,729 and 498,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,729 : 498,435.50 = 498,435.50 : x
2. Step 2: Convert to fraction form
   327,729/498,435.50 = 498,435.50/x
3. Step 3: Cross multiply
   327,729x = 498,435.50 × 498,435.50
4. Step 4: Simplify right side
   327,729x = 248,437,947,660.25
5. Step 5: Solve for x
   x = 248,437,947,660.25/327,729
6. Step 6: Final answer
   x = 758,059.09